{
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  {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Healthy    Fever\n",
      "0   0.3000    0.0400\n",
      "1   0.0840    0.0270\n",
      "2   0.0059    0.0151\n",
      "['Healthy', 'Healthy', 'Fever']\n"
     ]
    }
   ],
   "source": [
    "states = ('Healthy', 'Fever') # 病人的两种真实的状态，但它是隐藏的\n",
    "\n",
    "observations = ('normal', 'cold', 'dizzy') # 医生能够观察到的三种状态\n",
    "\n",
    "start_probability = {'Healthy': 0.6, 'Fever': 0.4} # 起始情况下，各状态的概率\n",
    "\n",
    "# 状态转移概率\n",
    "transition_probability = {\n",
    "   'Healthy' : {'Healthy': 0.7, 'Fever': 0.3},\n",
    "   'Fever' : {'Healthy': 0.4, 'Fever': 0.6},\n",
    "   }\n",
    "\n",
    "# 发射概率：例如\n",
    "emission_probability = {\n",
    "    # 病人实际是健康的，那么病人有50%的概率会感觉正常，50%的概率感觉冷，10%的概率感觉头晕\n",
    "    'Healthy' : {'normal': 0.5, 'cold': 0.4, 'dizzy': 0.1},\n",
    "    # 病人实际是发烧的，那么病人有10%的概率会感觉正常，30%的概率感觉冷，60%的概率感觉头晕\n",
    "    'Fever' : {'normal': 0.1, 'cold': 0.3, 'dizzy': 0.6},\n",
    "   }\n",
    "\n",
    "def viterbi(obs, states, start_p, trans_p, emit_p):\n",
    "    \"\"\"\n",
    "    obs: 能观察到的状态\n",
    "    states: 隐藏的状态\n",
    "    start_p: start probability\n",
    "    trans_p: transition probabilities\n",
    "    emit_p: emission probabilities\n",
    "    \"\"\"\n",
    "    V = [{}]\n",
    "    path = {}\n",
    "\n",
    "    # 初始化第零个观察状态对应真实状态的概率\n",
    "    for st in states:\n",
    "        # 初始概率乘以发射的概率\n",
    "        V[0][st] = start_p[st] * emit_p[st][obs[0]]\n",
    "        path[st] = [st]\n",
    "    # V[0]结果：{'Healthy': 0.3, 'Fever': 0.04}\n",
    "\n",
    "    # 遍历 obs 也就是观察到的状态，从第一个状态开始。第零个状态已经初始化了\n",
    "    for t in range(1,len(obs)):\n",
    "        V.append({})\n",
    "        newpath = {}\n",
    "\n",
    "        for curr_st in states:\n",
    "            # 计算 curr_st 到其他所有状态的概率\n",
    "            paths_to_curr_st = []\n",
    "            for prev_st in states:\n",
    "                # 前一个状态的概率乘以转移概率乘以发射概率\n",
    "                paths_to_curr_st.append((V[t-1][prev_st] * trans_p[prev_st][curr_st] * emit_p[curr_st][obs[t]], prev_st))\n",
    "            # 再找到所有状态中概率最大的\n",
    "            curr_prob, prev_state = max(paths_to_curr_st)\n",
    "            V[t][curr_st] = curr_prob\n",
    "            newpath[curr_st] = path[prev_state] + [curr_st]\n",
    "\n",
    "        # No need to keep the old paths\n",
    "        path = newpath\n",
    "\n",
    "    for line in dptable(V):\n",
    "        print(line)\n",
    "    prob, end_state = max([(V[-1][st], st) for st in states])\n",
    "    return prob, path[end_state]\n",
    "\n",
    "def dptable(V):\n",
    "    # Print a table of steps from dictionary\n",
    "    yield ' ' * 4 + '    '.join(states)\n",
    "    for t in range(len(V)):\n",
    "        yield '{}   '.format(t) + '    '.join(['{:.4f}'.format(V[t][state]) for state in V[0]])\n",
    "\n",
    "p, path = viterbi(observations, states, start_probability, transition_probability, emission_probability)\n",
    "print(path)"
   ]
  },
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   "metadata": {},
   "source": [
    "# 在分词中运用\n",
    "\n",
    "需要配合序列标注(Sequence Tagging)，例如中文分词最常用见的BMES标注集。其中：\n",
    "- B: Begin 词开始\n",
    "- M: Middle 词中间\n",
    "- E: End 词结尾\n",
    "- S: Single 单字成词\n",
    "\n",
    "例如“我爱北京天安门”能够标注为： SSBEBME\n",
    "\n",
    "将BMES当作隐藏状态，所有中文字符是观察状态，那么就是对输入的句子预测其中每一个字段是BMES中的哪一个，得到BMES后再拆成单词。\n",
    "还需要3个概率，概率的质量越高，最终分词越准确。"
   ]
  }
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